I don't think there's much hope. If others run their programs with the same permissions as your programs, they can not only read the same files as your programs - they can write to them as well. They'll be able to send your programs signals, and use /proc to query your processes (assuming the OS you are running on uses /proc).

I'd say switch to a provider that gives you the privacy you need. Yes, this may cost money, but as the old saying goes there's no such thing as a free lunch.

Abigail